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Finding the Fourth Proportional to 302,521.62, 417,463.59 and 166,529.10

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Solution

The fourth proportional to 302,521.62, 417,463.59 and 166,529.10 is: 229,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,521.62 : 417,463.59 = 166,529.10 : x
  2. Step 2: Convert to fraction form
    302,521.62/417,463.59 = 166,529.10/x
  3. Step 3: Cross multiply
    302,521.62x = 417,463.59 × 166,529.10
  4. Step 4: Simplify right side
    302,521.62x = 69,519,835,925.47
  5. Step 5: Solve for x
    x = 69,519,835,925.47/302,521.62
  6. Step 6: Final answer
    x = 229,801.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.